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Finding the Fourth Proportional to 228,098.40, 342,147.60 and 101,738.40

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Solution

The fourth proportional to 228,098.40, 342,147.60 and 101,738.40 is: 152,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098.40 : 342,147.60 = 101,738.40 : x
  2. Step 2: Convert to fraction form
    228,098.40/342,147.60 = 101,738.40/x
  3. Step 3: Cross multiply
    228,098.40x = 342,147.60 × 101,738.40
  4. Step 4: Simplify right side
    228,098.40x = 34,809,549,387.84
  5. Step 5: Solve for x
    x = 34,809,549,387.84/228,098.40
  6. Step 6: Final answer
    x = 152,607.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.